\newproblem{lay:2_7_2}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 2.7.2}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
  Use matrix multiplication to find the image of the triangle with data matrix $D=\begin{pmatrix}4 & 2 & 5\\ 0 & 2 & 3\end{pmatrix}$ under the
	transformation that reflects a point through the $y$-axis. Sketch both the original triangle and its image.
}{
  % Solution
	The referred to transformation is the one whose matrix is $A=\begin{pmatrix}1 & 0\\ 0 & -1\end{pmatrix}$
	\begin{center}
		$D'=AD=\begin{pmatrix}1 & 0\\ 0 & -1\end{pmatrix}\begin{pmatrix}4 & 2 & 5\\ 0 & 2 & 3\end{pmatrix}=\begin{pmatrix}4 & 2 & 5\\ 0 & -2 & -3\end{pmatrix}$
	\end{center}
	\begin{center}
		\includegraphics[scale=0.5]{Tema3/lay_2_7_2.eps}
	\end{center}
}
\useproblem{lay:2_7_2}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
